Transmitting Apparatus and Mapping Method Thereof

1. A receiving apparatus comprising: a receiver configured to receive a signal from a transmitting apparatus; a demodulator configured to demodulate the signal to generate values according to 4096-quadrature amplitude modulation (QAM); a deinterleaver configured to deinterleave the values; and a decoder configured to decode the deinterleaved values based on a low density parity check (LDPC) code having a code rate of 2/15, wherein the demodulator is configured to demodulate the signal based on constellation points for the 4096-QAM, and wherein each of the constellation points is represented in one of A+Bi, -A+Bi, A-Bi and -A-Bi, where A is a real component, B is an imaginary component, and each of A and B comprises one of values listed below: 0.2826 0.2885 0.2944 0.2885 0.2944 0.3003 0.2944 0.2885 0.2944 0.3003 0.3003 0.3003 0.2944 0.3003 0.2944 0.2885 0.9714 0.8596 0.7889 0.8478 0.8242 0.7771 0.8360 0.9184 1.1657 0.9479 0.8419 0.9302 0.9950 0.8713 1.0185 1.4660.

2. The receiving apparatus of claim 1 , wherein the demodulator is configured to demodulate the signal based the constellation points for the 4096-QAM corresponding to the code rate of 2/15 from among constellation points corresponding to a plurality of code rates.

3. A transmitting apparatus comprising: an interleaver configured to interleave a codeword comprising input bits and parity bits; and a constellation mapper configured to map bits of the interleaved codeword onto constellation points for 4096-quadrature amplitude modulation (QAM), wherein the parity bits are generated by encoding the input bits based on a low density parity check (LDPC) code having a code rate of 2/15, and wherein each of the constellation points is represented in one of A+Bi, -A+Bi, A-Bi and -A-Bi, where A is a real component, B is an imaginary component, and each of A and B comprises one of values listed below: 0.2826 0.2885 0.2944 0.2885 0.2944 0.3003 0.2944 0.2885 0.2944 0.3003 0.3003 0.3003 0.2944 0.3003 0.2944 0.2885 0.9714 0.8596 0.7889 0.8478 0.8242 0.7771 0.8360 0.9184 1.1657 0.9479 0.8419 0.9302 0.9950 0.8713 1.0185 1.4660.

4. The transmitting apparatus of claim 3 , wherein the constellation mapper is configured to map the bits of the interleaved codeword onto the constellation points for the 4096-QAM corresponding to the code rate of 2/15 from among constellation points corresponding to a plurality of code rates.